Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7715/263,2675/255
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 7715,2675
Greatest Common Factor of Numerators i.e. GCF of 7715,2675 is 5 .
LCM of Denominators means LCM of 263,255 as per the given fractions.
LCM of 263,255 is 67065 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7715,2675
5 | 7715, 2675 |
1543, 535 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 7715
List of positive integer factors of 7715 that divides 7715 without a remainder.
1,5,1543,7715
Factors of 2675
List of positive integer factors of 2675 that divides 2675 without a remainder.
1,5,25,107,535,2675
Greatest Common Factor
We found the factors 7715,2675 . The biggest common factor number is the GCF number.
So the greatest common factor 7715,2675 is 5.
Lets's calculate LCM of 263,255
Given numbers has no common factors except 1. So, there LCM is their product i.e 67065
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/67065
Therefore, the GCF of Fractions 7715/263,2675/255 is 5/67065
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 263,255 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(263,255) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(263,255) x common factors =1 x 1 = 1
LCM(263,255) = ( 263 × 255 ) / 1
LCM(263,255) = 67065 / 1
LCM(263,255) = 67065
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 7715/263, 2675/255?
Answer: GCF of Numerators as per given numbers 7715/263, 2675/255 is
GCF of Numerators i.e. for 7715,2675 is 5
LCM of denominators i.e. for 263,255 is 67065.
Thus, GCF of Fractions is 5/67065.Finally, GCF of Fractions for 7715/263, 2675/255 is 5/67065.